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220220211120120 = 2335522656400321
BaseRepresentation
bin110010000100101000000011…
…011101001100011111111000
31001212201211212011011112100000
4302010220003131030133320
5212331041443021320440
62100211433544113000
764246246061101041
oct6204500335143770
91055654764145300
10220220211120120
116419495a059242
122084819b165760
1395b58a4c18353
143c54a022c38c8
151a6d676919730
hexc84a0374c7f8

220220211120120 has 96 divisors (see below), whose sum is σ = 742223674548720. Its totient is φ = 58725389629440.

The previous prime is 220220211120103. The next prime is 220220211120157. The reversal of 220220211120120 is 21021112022022.

It is a happy number.

220220211120120 is a `hidden beast` number, since 220 + 2 + 202 + 1 + 1 + 120 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220220211120093 and 220220211120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11328190441 + ... + 11328209880.

Almost surely, 2220220211120120 is an apocalyptic number.

220220211120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220220211120120 is an abundant number, since it is smaller than the sum of its proper divisors (522003463428600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220220211120120 is a wasteful number, since it uses less digits than its factorization.

220220211120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22656400347 (or 22656400331 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220220211120120 its reverse (21021112022022), we get a palindrome (241241323142142).

The spelling of 220220211120120 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred eleven million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 22656400321 45312800642 67969200963 90625601284 113282001605 135938401926 181251202568 203907602889 226564003210 271876803852 339846004815 407815205778 453128006420 543753607704 611722808667 679692009630 815630411556 906256012840 1019538014445 1223445617334 1359384019260 1631260823112 1835168426001 2039076028890 2446891234668 2718768038520 3058614043335 3670336852002 4078152057780 4893782469336 5505505278003 6117228086670 7340673704004 8156304115560 9175842130005 11011010556006 12234456173340 14681347408008 18351684260010 22022021112012 24468912346680 27527526390015 36703368520020 44044042224024 55055052780030 73406737040040 110110105560060 220220211120120